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- W2281227239 abstract "Mathematical morphology is a nonlinear image processing methodology based on the computation of supremum (dilation operator) and infimum (erosion operator) in local neighborhoods called structuring elements. This paper deals with computation of supremum and infimum operators for symmetric positive definite (SPD) matrices, which are the basic ingredients for the extension mathematical morphology to SPD matrices-valued images. Approximation to the supremum and infimum associated to the Lowner ellipsoids are computed as the asymptotic cases of nonlinear averaging using the original notion of counter-harmonic mean for SPD matrices. Properties of this approach are explored, including also image examples." @default.
- W2281227239 created "2016-06-24" @default.
- W2281227239 creator A5067475182 @default.
- W2281227239 date "2014-01-01" @default.
- W2281227239 modified "2023-09-23" @default.
- W2281227239 title "Counter-Harmonic Mean of Symmetric Positive Definite Matrices: Application to Filtering Tensor-Valued Images" @default.
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- W2281227239 doi "https://doi.org/10.1007/978-3-319-05365-3_57" @default.
- W2281227239 hasPublicationYear "2014" @default.
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